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Evaluate : \[ (i) \int \: \sqrt {x^2+4x+8} dx \] \[ (ii) \int \: \sqrt {(x-5)(7-x)} dx \] \[ (iii) \int \: \sqrt {14x-20-2x^2} dx \] \[ (iv) \int \: \sqrt {4ax-x^2} dx \]

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